ON INHOMOGENEOUS BERNOULLI CONVOLUTIONS AND RANDOM POWER SERIES

被引：0

作者：

Bisbas, Antonios ^{[1
]}

Neunhaeuserer, Jorg ^{[2
]}

机构：

[1] Technol Educ Inst West Macedonia, Sch Technol Applicat, Gen Sci Dept, Kila 50100, Kozani, Greece

[2] Tech Univ Clausthal, Dept Math, D-38678 Clausthal Zellerfeld, Germany

来源：

REAL ANALYSIS EXCHANGE | 2010年 / 36卷 / 01期

关键词：

inhomogeneous Bernoulli convolution; random power series; absolute continuity; singularity; Pisot numbers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the results of Peres and Solomyak on absolute continuity and singularity of homogeneous Bernoulli convolutions to inhomogeneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdos-Salem type theorem for inhomogeneous Bernoulli convolutions.

引用

页码：213 / 222

页数：10

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